133903 has 16 divisors (see below), whose sum is σ = 175104. Its totient is φ = 99360.

The previous prime is 133877. The next prime is 133919. The reversal of 133903 is 309331.

It is a happy number.

133903 is a nontrivial binomial coefficient, being equal to C(518, 2).

It is a cyclic number.

It is not a de Polignac number, because 133903 - 2⁹ = 133391 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2826 + ... + 2872.

It is an arithmetic number, because the mean of its divisors is an integer number (10944).

2¹³³⁹⁰³ is an apocalyptic number.

133903 is the 517-th triangular number and also the 259-th hexagonal number.

133903 is the 173-rd centered nonagonal number.

133903 is a deficient number, since it is larger than the sum of its proper divisors (41201).

133903 is a wasteful number, since it uses less digits than its factorization.

133903 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 133903 is about 365.9275884653. The cubic root of 133903 is about 51.1599489436.

It can be divided in two parts, 13 and 3903, that added together give a triangular number (3916 = T₈₈).

The spelling of 133903 in words is "one hundred thirty-three thousand, nine hundred three".